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Finding the Third Proportional to 5,782,534.79 and 7,675,793.35

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Solution

The third proportional to 5,782,534.79 and 7,675,793.35 is: 10,188,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,534.79 : 7,675,793.35 = 7,675,793.35 : x
  2. Step 2: Convert to fraction form
    5,782,534.79/7,675,793.35 = 7,675,793.35/x
  3. Step 3: Cross multiply
    5,782,534.79x = 7,675,793.35 × 7,675,793.35
  4. Step 4: Simplify right side
    5,782,534.79x = 58,917,803,545,901.75
  5. Step 5: Solve for x
    x = 58,917,803,545,901.75/5,782,534.79
  6. Step 6: Final answer
    x = 10,188,923.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.